Differential equations, mathematical physics, and applications
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Differential equations, mathematical physics, and applications
(Contemporary mathematics, 734 . Selim Grigorievich Krein centennial)
American Mathematical Society, c2019
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references
Description and Table of Contents
Description
This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733.
Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union.
The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.
Table of Contents
P. Kuchment and E. Semenov, Introduction
S. Krein, Voronezh Winter Mathematical School
S. Krein, Recollections of Mark Krein
P. Kuchment and V. Lin, Selim Krein and Voronezh Winter Mathematical Schools
M. Grabovskaya and V. Kononenko, A few words about our beloved teacher in mathematics and life
Y. Belopolskaya, Probabilistic interpretations of quasilinear parabolic systems
S. Belyi and E. Tsekanovskii, On sectorial L-systems with Schrodinger operator
A. Cialdea and V. Maz'ya, The $L^p$-dissipativity of certain differential and integral operators
G. Derfel, Y. Feng, and S. Molchanov, Probabilistic approach to a cell growth model
G. Eskin, New examples of Hawking radiation from acoustic black holes
L. Friedlander, On multiplicative properties of determinants
V. Gol'dshtein, V. Pchelintsev, and A. Ukhlov, Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains
Y. Ilyashenko, First steps of the global bifurcation theory in the plane
V. Ivrii, Spectral asymptotics for fractional Laplacians
A. Katsevich, M. Bertola, and A. Tovbis, Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform
M. Kha and V. Lin, Polynomial-like elements in vector spaces with group actions
N. D. Kopachevsky, V. I. Voytitsky, and Z. Z. Sitshayeva, On two hydromechanical problems inspired by works of S. Krein
G. A. Kurina, Adjoint discrete systems with properly stated leading terms
E. Lakshtanov and B. Vainberg, Solution of the initial value problem for the focusing Davey-Stewartson II system
V. P. Maslov, Vortex quantization in classical mechanics
A. Pankov, Elliptic operators with nonstandard growth condition: Some results and open problems
V. Rabinovich, Essential spectrum of Schrodinger operators with $\delta$ and $\delta^\prime$-interactions on systems of unbounded smooth hypersurfaces in $\mathbb{R}^n$.
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